Soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions
Exactly Solvable and Integrable Systems
2026-03-10 v1 Mathematical Physics
math.MP
Abstract
In this paper, we derive general bright-dark soliton solutions to the coupled Sasa-Satsuma (CSS) equation using the Kadomtsev-Petviashvili (KP) reduction method. Since the CSS equation is a special case of the four-component Hirota equation, our approach begins with the construction of two-bright-two-dark soliton solutions for the four-component Hirota equation. By imposing specific parameter constraints, these solutions are subsequently reduced to the bright-dark soliton solutions of the CSS equation. Finally, the dynamical behaviors of the one- and two-bright-dark soliton solutions are thoroughly analyzed and illustrated.
Cite
@article{arxiv.2603.08686,
title = {Soliton solutions to the coupled Sasa-Satsuma equation under mixed boundary conditions},
author = {Changyan Shi and Xiyao Chen and Guangxiong Zhang and Chengfa Wu and Bao-Feng Feng},
journal= {arXiv preprint arXiv:2603.08686},
year = {2026}
}
Comments
24 pages, 8 figures